document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35368>Question 35368</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/061849281x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The population of a city is given by P=5000e^kt where t is time in years, with t=0 coresponding in year to 2000. In 1990 the population was 34,500. Find the value of k and predict the population in 2030. <BR>\n" );
document.write( "I come up with 123,608 if I use the negative in my problem<BR>\n" );
document.write( "34,500 =5000e^k(-10)<BR>\n" );
document.write( "6.9 = e^k(-10)<BR>\n" );
document.write( "ln6.9 = k(-10)<BR>\n" );
document.write( "P= 5000e^(-.193152141)(30)<BR>\n" );
document.write( "P= 123,608 population in 2030<BR>\n" );
document.write( "Is this correct??? Thinking it should be higher </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21505 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population of a city is given by P=5000e^kt where t is time in years, with t=0 coresponding in year to 2000. In 1990 the population was 34,500. Find the value of k and predict the population in 2030. <BR>\n" );
document.write( "I come up with 123,608 if I use the negative in my problem<BR>\n" );
document.write( "34,500 =5000e^k(-10)<BR>\n" );
document.write( "6.9 = e^k(-10)<BR>\n" );
document.write( "ln6.9 = k(-10)<BR>\n" );
document.write( "P= 5000e^(-.193152141)(30)<BR>\n" );
document.write( "P= 123,608 population in 2030<BR>\n" );
document.write( "Is this correct??? Thinking it should be higher\r<BR>\n" );
document.write( "\n" );
document.write( "I think it is smaller than that.<BR>\n" );
document.write( "In 1990 the population was 34,500<BR>\n" );
document.write( "In 2000 the population was only 5000<BR>\n" );
document.write( "This is a decreasing population.<BR>\n" );
document.write( "The negative is correct but your exponent is not; you need to include<BR>\n" );
document.write( "the \"30\" in the exponent.<BR>\n" );
document.write( "Try P = 5000e^(-0.193152141*30)= 15 people.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );